Wavelet basis analysis in perturbed periodic KdV equation

DOI10.1007/BF02459193zbMath0936.35170MaRDI QIDQ1292902

Lixin Tian, Dianchen Lu, Zeng-Rong Liu

Publication date: 18 May 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

approximate inertial manifoldwavelet basisperturbed periodic KdV equation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) KdV equations (Korteweg-de Vries equations) (35Q53) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (7)

Asymptotics of solutions to the periodic problem for a Burgers type equation ⋮ Pseudodifferential operator with a nonanalytic symbol on a half-line ⋮ Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation ⋮ Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation ⋮ Nonlinear evolution equations with a fractional derivative on a half-line ⋮ Nonlinear evolution equation with a fractional differential operator on a half-line ⋮ The wild solutions of the induced form under the spline wavelet basis in weakly damped forced KdV equation

Cites Work

• On the construction of families of approximate inertial manifolds
• Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis
• The research of longtime dynamic behavior in weakly damped forced KdV equation
• Construction of Approximate Inertial Manifolds Using Wavelets
• Exponentially small estimate for a generalized solitary wave solution to the perturbed K−dV equation

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